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Three-way Combinatorial Interpretations of Rogers–Ramanujan Identities
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Combinatorial interpretations of the Rogers–Ramanujan identities are provided in terms of n–color partitions. Further interpretations in terms of ordinary partitions are obtained by using bijective maps. These results lead to the interpretations of two fifth order mock theta functions by attaching weights.
Keywords
Partitions, n–color partitions, mock theta functions, Rogers–Ramanujan identities.
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